Pseudogap in 1d revisited

Two decades ago, Sadovskii found an exact solution of a model describing a pseudogap in electron energy spectrum (first introduced by Lee, Rice and Anderson). The discovery of a pseudogap in high-Tc superconductors has revived the interest to his exact solution. I review the model with the emphasis on physical content, point out an error in the original Sadovskii’s solution and explain which problem he actually solved. A recent incorporation of Sadovskii’s ideas into a description of “hot spots” on the Fermi surface in cuprate superconductors (Schmalian, Pines and Stojkoviĉ) is briefly discussed.